The reflection and transmission of electromagnetic plane waves from multilayered periodic arrays of two-dimensional composite cylindrical objects is analyzed, using the lattice sums formula and the T-matrix for cylindrical structures. It is shown that when the array of cylindrical objects is multilayered or embedded in a dielectric slab, the frequency response in the reflectance and transmittance is noticeably refined through a multiple scattering process of the space-harmonics.
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